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Finding the Third Proportional to 423,905 and 640,177.50

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Solution

The third proportional to 423,905 and 640,177.50 is: 966,790.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,905 : 640,177.50 = 640,177.50 : x
  2. Step 2: Convert to fraction form
    423,905/640,177.50 = 640,177.50/x
  3. Step 3: Cross multiply
    423,905x = 640,177.50 × 640,177.50
  4. Step 4: Simplify right side
    423,905x = 409,827,231,506.25
  5. Step 5: Solve for x
    x = 409,827,231,506.25/423,905
  6. Step 6: Final answer
    x = 966,790.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.